©2007, The McGraw-Hill Companies, All Rights Reserved 22-1 McGraw-Hill/Irwin Chapter Twenty-two...
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Transcript of ©2007, The McGraw-Hill Companies, All Rights Reserved 22-1 McGraw-Hill/Irwin Chapter Twenty-two...
22-1McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Chapter Twenty-two Managing Interest Rate
Risk and Insolvency Risk on the Balance Sheet
22-2McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Interest Rate Risk Measurement
• Repricing or funding gap
• Rate Sensitivity– the time to reprice an asset or liability– a measure of an FI’s exposure to interest rate
changes in each maturity “bucket”– GAP can be computed for each of an FI’s maturity
buckets
• Repricing or funding gap
• Rate Sensitivity– the time to reprice an asset or liability– a measure of an FI’s exposure to interest rate
changes in each maturity “bucket”– GAP can be computed for each of an FI’s maturity
buckets
22-3McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Calculating GAP for a Maturity Bucket
NIIi = (GAP)i Ri = (RSAi - RSLi) Ri
where NIIi = change in net interest income in the ith maturity bucket GAPi = dollar size of the gap between the book value of rate-sensitive assets and rate- sensitive liabilities in maturity bucket i Ri = change in the level of interest rates impacting assets and liabilities in the ith maturity bucket
NIIi = (GAP)i Ri = (RSAi - RSLi) Ri
where NIIi = change in net interest income in the ith maturity bucket GAPi = dollar size of the gap between the book value of rate-sensitive assets and rate- sensitive liabilities in maturity bucket i Ri = change in the level of interest rates impacting assets and liabilities in the ith maturity bucket
22-4McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Simple Bank Balance Sheet and Repricing Gap
Assets Liabilities_________1. Cash and due from $ 5 1. Two-year time deposits $ 402. Short-term consumer 50 2. Demand deposits 40 loans (1 yr. maturity) 3. Long-term consumer 25 3. Passbook Savings 30 loans (2 yr. maturity)4. Three-month T-bills 30 4. Three-month CDs 405. Six-month T-notes 35 5. Three-month banker’s 20 acceptances6. Three-year T-bonds 60 6. Six-month commercial 607. 10-yr. Fixed-rate mort. 20 7. One-year time deposits 208. 30-yr. Floating-rate m. 40 8. Equity capital (fixed) 209. Premises 5 $270 $270
Assets Liabilities_________1. Cash and due from $ 5 1. Two-year time deposits $ 402. Short-term consumer 50 2. Demand deposits 40 loans (1 yr. maturity) 3. Long-term consumer 25 3. Passbook Savings 30 loans (2 yr. maturity)4. Three-month T-bills 30 4. Three-month CDs 405. Six-month T-notes 35 5. Three-month banker’s 20 acceptances6. Three-year T-bonds 60 6. Six-month commercial 607. 10-yr. Fixed-rate mort. 20 7. One-year time deposits 208. 30-yr. Floating-rate m. 40 8. Equity capital (fixed) 209. Premises 5 $270 $270
22-5McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Additional Terminology
• Cumulative gap (CGAP): the cumulative GAP across various repricing categories or buckets
• Spread effect: the effect that a change in the spread between rates on RSAs and RSLs has on net interest income (NII) as interest rates change
• Cumulative gap (CGAP): the cumulative GAP across various repricing categories or buckets
• Spread effect: the effect that a change in the spread between rates on RSAs and RSLs has on net interest income (NII) as interest rates change
22-6McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Four Major Weakness in the Repricing Model
• Market value effects
• Cash flow patterns within a maturity bucket
• The problems of rate runoffs and prepayments
• Cash flows from off-balance-sheet activities
• Market value effects
• Cash flow patterns within a maturity bucket
• The problems of rate runoffs and prepayments
• Cash flows from off-balance-sheet activities
22-7McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Duration Model
Duration gap - a measure of overall interest rate risk exposure for an FI
D = _ % in the market value of a security R(1 + R)
Duration gap - a measure of overall interest rate risk exposure for an FI
D = _ % in the market value of a security R(1 + R)
22-8McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Difficulties in Applying the Duration Model
• Duration matching can be costly
• Immunization is a dynamic problem
• Large interest rate changes and convexity
• Duration matching can be costly
• Immunization is a dynamic problem
• Large interest rate changes and convexity
22-9McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Insolvency Risk Management
• Net worth
• Book Value
• Market value or mark-to-market value basis
• Net worth
• Book Value
• Market value or mark-to-market value basis
22-10McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Effects of Changes in Loan Values and Interest Rates on the Balance Sheet
Assets Liabilities Base case Long-term securities $ 80 Short-term floating $ 90 Long-term bonds 20 Net worth 10 $100 $100 After a major decline in value of loans Long-term securities $ 80 Liabilities $90 Long-term bonds 8 Net worth -2 $88 $88 After a rise in interest rates Long-term securities $ 75 Liabilities $90 Long-term loans 17 Net worth 2 $92 $92
Assets Liabilities Base case Long-term securities $ 80 Short-term floating $ 90 Long-term bonds 20 Net worth 10 $100 $100 After a major decline in value of loans Long-term securities $ 80 Liabilities $90 Long-term bonds 8 Net worth -2 $88 $88 After a rise in interest rates Long-term securities $ 75 Liabilities $90 Long-term loans 17 Net worth 2 $92 $92
22-11McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
The Book Value of Capital
• The book value of capital usually comprises three components in banking– Par value of shares– Surplus value of shares – Retained earnings
• Book value of its capital and credit risk
• Book value of capital and interest rate risk
• The book value of capital usually comprises three components in banking– Par value of shares– Surplus value of shares – Retained earnings
• Book value of its capital and credit risk
• Book value of capital and interest rate risk
22-12McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
The Discrepancy between the Market and Book Values of Equity
• The degree to which the book value of an FI’s capital deviates from its true economic market value depends on a number of values– Interest Rate Volatility
– Examination and Enforcement
– Loan Trading
• The degree to which the book value of an FI’s capital deviates from its true economic market value depends on a number of values– Interest Rate Volatility
– Examination and Enforcement
– Loan Trading
22-13McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Calculating Discrepancy Between Book Values (BV) and Market Values (MV)
MV = Market value of equity ownership in shares outstanding Number of shares
Par value of equity + Surplus value + BV = Retained earnings_ ________ Number of shares
Market-to-book ratio A ratio that shows the discrepancy between the stock market value of an FI’s equity and the book value of its equity
MV = Market value of equity ownership in shares outstanding Number of shares
Par value of equity + Surplus value + BV = Retained earnings_ ________ Number of shares
Market-to-book ratio A ratio that shows the discrepancy between the stock market value of an FI’s equity and the book value of its equity
22-14McGraw-Hill/Irwin ©2007, The McGraw-Hill Companies, All Rights Reserved
Arguments against Market Value Accounting
• Difficulty of implementation
• Introduces unnecessary degree of variability into an FI’s net worth
• FI’s are less willing to accept longer-term asset exposures
• Difficulty of implementation
• Introduces unnecessary degree of variability into an FI’s net worth
• FI’s are less willing to accept longer-term asset exposures